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Marina86 [1]
3 years ago
15

Let the random variable X denote the number of network blackouts in a day. The

Mathematics
1 answer:
faltersainse [42]3 years ago
6 0
E(X) = 0(0.7) + 1(0.2) + 2(0.1) = 0.2 + 0.2 = 0.4
The expected daily loss due to blackouts = 0.4 * $500 = $200

Var(X) = 0(0.7 - 0.4)^2 + 1(0.2 - 0.4)^2 + 2(0.1 - 0.4)^2 = 0.04 + 0.18 = 0.22
The expected daily variance due to blackouts = 0.22 * $500 = $110
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3 years ago
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ms salinas is packing lunches for a field trip. She is placing 15 sack lunches in each of 3 ice chests. Each sack lunch contains
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Answer:18

Step-by-step explanation:

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3 years ago
Last tuesday evening, Aaron, the car wash owner, found he had 90% more quarters than dimes. If the combined value of Aaron's qua
Alex Ar [27]

Aaron the car wash owner had 228 quarters and 120 dimes.

<h3>Equation</h3>

An equation is an expression used to show the relationship between two or more variables and numbers.

Let x represent the number of quarters and y represent the number of dimes. Hence:

x = 90% of y + y

x = (0.9y) + y

x - 1.9y = 0   (1)

Also:

0.25x + 0.1y = 69   (2)

From both equations:

x = 228, y = 120

Aaron the car wash owner had 228 quarters and 120 dimes.

Find out more on Equation at: brainly.com/question/13763238

4 0
2 years ago
The difference between x and 6 is less than 14
UNO [17]

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7 0
3 years ago
The average income, I, in dollars, of a lawyer with an age of x years is modeled with the following function: I = -425x^2 + 45,5
lord [1]

We are given

The average income, I, in dollars is

I=-425x^2+45500x-650000

(a)

now, we are given

average income is $275000

so, I=275000

now, we can set them equal

and then we can solve for x

275000=-425x^2+45500x-650000

-425x^2+45500x-925000=0

we will have to use quadratic formula

x=\frac{-45500+\sqrt{45500^2-4\left(-425\right)\left(-925000\right)}}{2\left(-425\right)}:\quad \frac{-\sqrt{45500^2-1572500000}+45500}{850}

x=\frac{-45500-\sqrt{45500^2-4\left(-425\right)\left(-925000\right)}}{2\left(-425\right)}:\quad \frac{\sqrt{45500^2-1572500000}+45500}{850}

we get

x=27.28199

x=79.776

we need to find youngest age

It means that we need to choose smallest value

so,

x=27............Answer

(b)

we are given

x=40

so, we can plug it and find I

I=-425(40)^2+45500(40)-650000

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6 0
3 years ago
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